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Mariulka [41]
3 years ago
14

Find the area and perimeter of the following

Mathematics
1 answer:
suter [353]3 years ago
3 0

Answer:

Perimeter is 8x²y+26x

Area is 52x³y

Step-by-step explanation:

The perimeter is 2W+2L and area is LW

Perimeter:

2(4x²y)+2(13x)

8x²y+26x

Area:

(4x²y)(13x)

52x³y

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A machine can stamp 75 caps per minute. At this rate how long will it take to stamp 3000?
Leya [2.2K]
<h2>Answer:</h2><h2>40 minutes</h2>

Step-by-step explanation:

75- caps ----------- 1 minute\\3000 caps ------------x - minutes\\\\Cross-Multiply\\75x = 3000 \times 1\\75x = 3000\\\frac{75}{75} =\frac{3000}{75} \\\\x = 40 minutes

6 0
3 years ago
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What is the height of the triangle? 12 units 24 units 36 units 72 units.
konstantin123 [22]

Height of the triangle is the altitude of the triangle and which is drawn perpendicular from the vertex of the triangle to the opposite side. The height of the tringle is 24 units. Hence option 2 is the correct option.

<h3>Given information-</h3>

The triangle for the given problem is shown in the image below.

Form the figure the length of the each side is 16 \sqrt{3} units.

As all the sides are equal thus the \Delta MNO is a equilateral triangle in which the height of the divides the triangle into two equal part of the length 8\sqrt{3} at point <em>R.</em>

<h3>Height of the triangle-</h3>

Height of the triangle is the altitude of the triangle and which is drawn perpendicular from the vertex of the triangle to the opposite side.

Now in the  \Delta MRN, the length of the hypotenuse is 16 \sqrt{3} units and the length of the base is 8\sqrt{3} units. Let <em>h </em>is the height of the triangle thus by the Pythagoras theorem,

(16\sqrt{3})^2 =(8\sqrt{3})^2+h^2

Solve for <em>h,</em>

<em />

<em />\begin{aligned}h^2 &=(16\sqrt{3})^2 -(8\sqrt{3})^2\\h^2 &=16\times16\times3 -8\times8\times3\\h^2 &=576\\h &=\sqrt{576}\\h &=24\\\end<em />

<em />

Thus the height of the tringle is 24 units. Hence option 2 is the correct option.

Learn more about the equilateral triangle here;

brainly.com/question/4268382

5 0
2 years ago
A ball is thrown into the air. The height h, in feet, of the ball after x seconds is given by the function h = −16(x − 2)2 + 72.
Annette [7]

Answer:

Step-by-step explanation:

h = −16(x − 2)² + 72

 =  −16((x − 2)(x − 2)) + 72                   expand the square  (x - 2)² =  (x - 2)(x - x)

 =  -16 ((x)(x) + (x)(-2) + (-2)(x) + (-2)(-2)) + 72

  = -16 (x² + (-2x) + (-2x) + (4) ) + 72

  = -16 (x² + (-4x)  + (4) ) + 72

  = -16 (x² - 4x  + 4 ) + 72

  = (-16)(x²) + (-16)(-4x) +(-16)(4) + 72

  =   -16x²  + 64x  - 64 + 72

  =   -16x²  + 64x  + 8              My guess is D   ; 72 ???

I have no clue what the  ; 72 means after the given answer.  It must be a standard form thing I never learned.

4 0
3 years ago
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"8% of a number is 20."
andreyandreev [35.5K]

Answer: 250

Step-by-step explanation:

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3 years ago
What do you add to 17/4 to make 5
algol13
You would add 3/4 to that
5 0
4 years ago
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